Algebraic structures such as operads, Lie algebras and higher A∞-algebras underpin many foundational aspects of modern mathematics. When combined with homotopy theory—the study of continuous ...

Model theory offers a robust logical framework for exploring the intricacies of algebraic structures, bridging abstract logic and concrete algebraic systems. Through the examination of models – ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...